Task 878
Task 878: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $z$ and $w$ be complex numbers such that $ z + 1 + 3i = 1$ and $ w - 7 - 8i = 3.$ Find the smallest possible value of $ z - w .$
The task
Let $z$ and $w$ be complex numbers such that $|z + 1 + 3i| = 1$ and $|w - 7 - 8i| = 3.$ Find the smallest possible value of $|z - w|.$